Topologically quantized macroscopic attractor states in hydrated DNA

TL;DR

This study demonstrates the emergence of topologically quantized macroscopic attractor states in hydrated DNA under magnetic excitation, revealing discrete voltage levels due to phase topology constraints.

Contribution

It introduces a phase-field model explaining how topologically distinct attractors arise in a classical, dissipative DNA system at ambient conditions.

Findings

Discrete voltage levels indicate multiple coexisting attractor states.

Bimodal distributions support the presence of metastable states.

Transitions are mediated by phase-slip events within a U(1) polarization phase.

Abstract

Driven dissipative systems at ambient conditions typically exhibit continuous responses shaped by fluctuations and relaxation, with discrete macroscopic states arising only under specific dynamical constraints. Here, we report the emergence of discrete attractor states in a quasi-two-dimensional hydrated DNA sample under magnetic excitation. The transverse polarization voltage Vxy displays telegraph switching between well-defined levels, indicating stochastic transitions between metastable macroscopic states. Statistical analysis of the voltage time series reveals bimodal distributions and strong Bayesian model selection in favor of multiple coexisting states. These observations can be consistently interpreted within a phase-field framework in which a collective U(1) polarization phase organizes into integer-labeled winding sectors, with transitions mediated by phase-slip events. This framework gives rise to discrete voltage levels reflecting topologically distinct attractors of the driven system. The results suggest that macroscopic quantization can emerge in a classical system at ambient conditions as a consequence of dissipative dynamics constrained by phase topology.